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Finding the Third Proportional to 744,219,374 and 1,109,072,598

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Solution

The third proportional to 744,219,374 and 1,109,072,598 is: 1,652,794,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,219,374 : 1,109,072,598 = 1,109,072,598 : x
  2. Step 2: Convert to fraction form
    744,219,374/1,109,072,598 = 1,109,072,598/x
  3. Step 3: Cross multiply
    744,219,374x = 1,109,072,598 × 1,109,072,598
  4. Step 4: Simplify right side
    744,219,374x = 1,230,042,027,634,469,632
  5. Step 5: Solve for x
    x = 1,230,042,027,634,469,632/744,219,374
  6. Step 6: Final answer
    x = 1,652,794,956.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.